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A comparison of spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. - Part I
URN: urn:nbn:de:bsz:291-scidok-46245
URL: http://scidok.sulb.uni-saarland.de/volltexte/2012/4624/
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Dokument 1.pdf (603 KB)
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Freie Schlagwörter (Englisch):
streamline upwind/Petrov-Galerkin (SUPG) method
Institut:
Fachrichtung 6.1 - Mathematik
DDC-Sachgruppe:
Mathematik
Dokumentart:
Preprint (Vorabdruck)
Schriftenreihe:
Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Bandnummer:
156
Sprache:
Englisch
Erstellungsjahr:
2005
Publikationsdatum:
29.02.2012
Kurzfassung auf Englisch:
An unwelcome feature of the popular streamline upwind/Petrov-Galerkin (SUPG) stabilization of convection-dominated convection-diffusion equations is the presence of spurious oscillations at layers. Since the mid of the 1980-ies, a number of methods have been proposed to remove or, at least, to diminish these oscillations without leading to excessive smearing of the layers. The paper gives a review and state of the art of these methods, discusses their derivation, proposes some alternative choices of parameters in the methods and categorizes them. Some numerical studies give a first insight into the advantages and drawbacks of the methods.
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